Weighted Average Formula:
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Definition: This calculator computes the weighted average of grades based on their respective weights.
Purpose: It helps students and educators determine overall performance when different assignments or exams have different weights.
The calculator uses the formula:
Where:
Explanation: Each grade is multiplied by its weight, these products are summed, then divided by the sum of all weights.
Details: Weighted averages provide a more accurate representation of overall performance when different components contribute unequally to the final grade.
Tips: Enter at least one grade/weight pair. You can add a second pair if needed. Grades should be percentages (0-100), and weights must be positive numbers.
Q1: What's the difference between weighted and regular average?
A: Regular average treats all grades equally, while weighted average accounts for different importance levels.
Q2: How do I determine the weights?
A: Weights are typically determined by the percentage each component contributes to the final grade (e.g., midterm 30%, final 50%, homework 20%).
Q3: Can I add more than two grade/weight pairs?
A: This calculator handles up to two pairs. For more complex calculations, you may need to perform multiple calculations or use a spreadsheet.
Q4: What if my weights don't add up to 100?
A: The calculator normalizes the weights automatically, so they don't need to sum to any specific value.
Q5: How accurate is the result?
A: The result is mathematically precise based on your inputs, rounded to two decimal places.